75728224000 has 864 divisors, whose sum is σ = 238076616960. Its totient is φ = 23721984000.

The previous prime is 75728223959. The next prime is 75728224031. The reversal of 75728224000 is 42282757.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1130271967 + ... + 1130272033.

It is an arithmetic number, because the mean of its divisors is an integer number (275551640).

Almost surely, 2^75728224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75728224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119038308480).

75728224000 is an abundant number, since it is smaller than the sum of its proper divisors (162348392960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75728224000 is a wasteful number, since it uses less digits than its factorization.

75728224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 75728224000 in words is "seventy-five billion, seven hundred twenty-eight million, two hundred twenty-four thousand".